Balbharati Maharashtra State Board12th Commerce Maths Solution Book PdfChapter 5 Index Numbers Miscellaneous Exercise 5 Questions and Answers.
Maharashtra State Board 12th Commerce Maths Solutions Chapter 5 Index Numbers Miscellaneous Exercise 5
(I) Choose the correct alternative.
Question 1
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Price Index Number by Simple Aggregate method is given by
Solution & Step-by-Step Answer:
(c)

Question 2
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Quantity Index Number by Simple Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 3
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Value Index Number by Simple Aggregate Method is given by
Solution & Step-by-Step Answer:
(b)

Question 4
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Price Index Number by Weighted Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 5
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Quantity Index Number By Weighted Aggregate Method is given by
Solution & Step-by-Step Answer:
(c)

Question 6
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Value Index Number by Weighted aggregate Method is given by
Solution & Step-by-Step Answer:
(d)

Question 7
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Laspeyre’s Price Index Number is given by
Solution & Step-by-Step Answer:
(c)

Question 8
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Paassche’s Price Index Number is given by
Solution & Step-by-Step Answer:
(d)

Question 9
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Dorbish-Bowley’s Price Index Number is given by
Solution & Step-by-Step Answer:
(c)


Question 10
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Fisher’s Price Number is given by
Solution & Step-by-Step Answer:
(a)

Question 11
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Marshall-Edge worth’s Price Index Number is given by
Solution & Step-by-Step Answer:
(a)

Question 12
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Walsh’s Price Index Number is given by
Solution & Step-by-Step Answer:
(a)


Question 13
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The Cost of Living Index Number using Aggregate Expenditure Method is given by
Solution & Step-by-Step Answer:
(a)

Question 14
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The Cost of Living Index Number using Weighted Relative Method is given by
Solution & Step-by-Step Answer:
(a)

(II) Fill in the blanks.
Question 1
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Price Index Number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 2
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Quantity Index number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 3
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Value Index Number by Simple Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 4
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Price Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 5
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Quantity Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 6
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Value Index Number by Weighted Aggregate Method is given by ____________
Solution & Step-by-Step Answer:
Question 7
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Laspeyre’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 8
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Paasche’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 9
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Dorbish-Bowley’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 10
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Fisher’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
Question 11
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Marshall-Edgeworth’s Price Index Number is given my ____________
Solution & Step-by-Step Answer:
Question 12
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Walsh’s Price Index Number is given by ____________
Solution & Step-by-Step Answer:
(III) State whether each of the following is True or False.
Question 1
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is the Price Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
True
Question 2
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is the Quantity Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
False
Question 3
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is value Index Number by Simple Aggregate Method.
Solution & Step-by-Step Answer:
False
Question 4
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Paasche’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 5
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is Laspeyre’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 6
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is Dorbish-Bowley’s Index Number.
Solution & Step-by-Step Answer:
False
Question 7
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is Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 8
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is Marshall-Edgeworth’s Index Number.
Solution & Step-by-Step Answer:
False
Question 9
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is Walsh’s Price Index Number.
Solution & Step-by-Step Answer:
False
Question 10
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is Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
True
(IV) Solve the following problems.
Question 1
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Find the price Index Number using simple Aggregate Method Consider 1980 as base year.
Solution & Step-by-Step Answer:


Question 2
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Find the Quantity Index Number using Simple Aggregate Method.
Solution & Step-by-Step Answer:



Question 3
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Find the Value Index Number using Simple Aggregate Method.
Solution & Step-by-Step Answer:
= × 100 = 121.43


Question 4
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Find x if the Price Index Number using Simple Aggregate Method is 200.
Solution & Step-by-Step Answer:


Question 5
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Calculate Laspeyre’s and Paasche’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 6
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Calculate Dorbish-Bowley’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 7
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Calculate Marshall-Edge worth’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 8
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Calculate Walsh’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 9
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Calculate Laspeyre’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 10
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Find x if Laseyre’s Price Index Number is same as Paasche’s Price Index Number for the following data.
Solution & Step-by-Step Answer:



Question 11
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Find x if Walsh’s Price Index Number is 150 for the following data.
Solution & Step-by-Step Answer:




Question 12
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Find x if Paasche’s Price Index Number is 140 for the following data.
Solution & Step-by-Step Answer:



Question 13
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Given that Laspeyre’s and Paasche’s Index Number are 25 and 16 respectively. Find Dorbish-Bowley’s and Fisher’s Price Index Number.
Solution & Step-by-Step Answer:
= = 20

Question 14
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If Laspeyre’s and Dorbish Price Index Number are 150.2 and 152.8 respectively, find Paasche’s rice Index Number.
Solution & Step-by-Step Answer:

Question 15
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If Σp0q0 = 120, Σp0q1 = 160, Σp1q1 = 140, and Σp1q0 = 200 find Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall-Edgeworth’s Price Index Numbers.
Solution & Step-by-Step Answer:


Question 16
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Given that Σp0q0 = 130, Σp1q1 = 140, Σp0q1 = 160, and Σp1q0 = 200, find Laspeyare’s, Passche’s, Dorbish-Bowely’s and Mashall-Edegeworth’s Price Inbox Numbers.
Solution & Step-by-Step Answer:

Question 17
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Given that Σp1q1 = 300, Σp0q1 = 140, Σp0q0 = 120, and Marshall-Edegeworth’s Price Inbox Number is 120, find Laspeyre’s Price Index Number.
Solution & Step-by-Step Answer:
p01(P) = = × 100 = 93.75
Question 18
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Calculate the cost of living number for the following data.
Solution & Step-by-Step Answer:


Question 19
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Find the cost living index number by the weighted aggregate method.
Solution & Step-by-Step Answer:


Question 20
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Find the cost of living index number by Family Budget Method for the following data. Also, find the expenditure of a person in the year 2008 if his expenditure in the year 2005 was ₹ 10,000.
Solution & Step-by-Step Answer:


Question 21
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Find x if cost of living index number is 193 for the following data.
Solution & Step-by-Step Answer:


Question 22
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The cost of living number for year 2000 and 2003 are 150 and 210 respectively. A person earns ₹ 13,500 per month in the year 2000. What should be his monthly earning in the year 2003 in order to maintain the same standard of living?
Solution & Step-by-Step Answer:
CLI (2000) = 150 CLI (2003) = 210 Income (2000) = 13500 Income (2003) = ? Real Income = For 2000, Real Income = = ₹ 9000 For 2003, Real Income = ∴ 9000 = ∴ Income = = 18900 ∴ Income in 2003 = ₹ 18900